Advances in Applied Clifford Algebras

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Transition from three to four dimensions in the differential-form formulation of electrodynamics
Advances in Applied Clifford Algebras - Tập 11 Số S2 - Trang 127-153 - 2001
Bernard Jancewicz
Construction of a Few Quantum Mechanical Hamiltonians via Lévy-Leblond Type Linearization: Clifford Momentum, Spinor States and Supersymmetry
Advances in Applied Clifford Algebras - Tập 32 - Trang 1-13 - 2022
Arindam Chakraborty, Bhaskar Debnath, Ritaban Datta, Pratyay Banerjee
A number of new Lévy-Leblond type equations admitting four component spinor solutions have been proposed. The pair of linearized equations thus obtained in each case lead to Hamiltonians with characteristic features like L-S coupling and supersymmetry. The relevant momentum operators have often been understood in terms of Clifford algebraic bases producing Schrödinger Hamiltonians with L-S couplin...... hiện toàn bộ
The generalized clifford-hermite continuous wavelet transform
Advances in Applied Clifford Algebras - Tập 11 - Trang 219-231 - 2001
F. Brackx, F. Sommen
Specific wavelet kernel functions for a continuous wavelet transform in Euclidean space are constructed in the framework of Clifford analysis. Their relationship with the heat equation and a newly introduced wavelet differential equation is established.
(Para-) Kähler Structures on $$\rho $$ ρ -Commutative Algebras
Advances in Applied Clifford Algebras - - 2018
Zahra Bagheri, E. Peyghan
Erratum to: Some Matrix Representations of Fibonacci Quaternions and Octonions
Advances in Applied Clifford Algebras - - 2017
Serpil Halici, Adnan Karataş
Décomposition canonique des rotations
Advances in Applied Clifford Algebras - Tập 12 - Trang 97-100 - 2002
Produit de trois vecteurs
Advances in Applied Clifford Algebras - Tập 12 - Trang 13-14 - 2002
Hyperbolic multi-topology and the basic principle in quantum mechanics
Advances in Applied Clifford Algebras - Tập 9 - Trang 109-118 - 1999
Yu Xuegang
In this paper, applying the direction strangeness of the hyperbolic space-time, we introduce the double metric space and the multi-topological structure, and in the wave-particle topology, we give one kind of imaginary metric representation for light-quantum hypothesis, uncertainty principle, energy level transition and interference conditions, etc. in quantum mechanics.
Two Novel Algebraic Techniques for Quaternion Least Squares Problems in Quaternionic Quantum Mechanics
Advances in Applied Clifford Algebras - Tập 26 - Trang 169-182 - 2015
Tongsong Jiang, Ziwu Jiang, Zhaozhong Zhang
Quaternion least squares (QLS) problem is one method of solving overdetermined sets of quaternion linear equations $${AX \approx B}$$ and $${AXC \approx B}$$ ...... hiện toàn bộ
Brownian Motion, Martingales and Itô Formula in Clifford Analysis
Advances in Applied Clifford Algebras - Tập 32 - Trang 1-18 - 2022
Swanhild Bernstein, Dmitrii Legatiuk
Clifford analysis has been the field of active research for several decades resulting in various methods to solve problems in pure and applied mathematics. However, the area of stochastic analysis has not been addressed in its full generality in the Clifford setting, since only a few contributions have been presented so far. Considering that the tools of stochastic analysis play an important role ...... hiện toàn bộ
Tổng số: 1,004   
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